BOUNDS FOR THE RENYI ENTROPIES AND DYNAMIC PHASE-TRANSITIONS

被引：3
|
作者：
BENE, J
SZEPFALUSY, P
机构：
[1] EOTVOS LORAND UNIV, INST SOLID STATE PHYS, H-1445 BUDAPEST, HUNGARY
[2] HUNGARIAN ACAD SCI, CENT RES INST PHYS, H-1525 BUDAPEST, HUNGARY
来源：
PHYSICAL REVIEW A | 1992年 / 46卷 / 02期
关键词：
D O I：
10.1103/PhysRevA.46.801
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
Upper and lower bounds are derived for the Renyi entropies in terms of the properties of periodic orbits. The bounds are valid for a broad class of chaotic systems and are applied as criteria for the existence of dynamical phase transitions associated with an anomalous scaling of the probability of observing orbits with certain symbolic sequences. The invariance of these criteria under singular coordinate transformations is emphasized and demonstrated in one-dimensional examples.
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页码：801 / 808
页数：8
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